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Finding the Fourth Proportional to 22,199.94, 33,321.96 and 9,728.64

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Solution

The fourth proportional to 22,199.94, 33,321.96 and 9,728.64 is: 14,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199.94 : 33,321.96 = 9,728.64 : x
  2. Step 2: Convert to fraction form
    22,199.94/33,321.96 = 9,728.64/x
  3. Step 3: Cross multiply
    22,199.94x = 33,321.96 × 9,728.64
  4. Step 4: Simplify right side
    22,199.94x = 324,177,352.93
  5. Step 5: Solve for x
    x = 324,177,352.93/22,199.94
  6. Step 6: Final answer
    x = 14,602.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.